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Simplifying 2(-3x + -6) + 2 = 8(2x + -1) + -2 Reorder the terms: 2(-6 + -3x) + 2 = 8(2x + -1) + -2 (-6 * 2 + -3x * 2) + 2 = 8(2x + -1) + -2 (-12 + -6x) + 2 = 8(2x + -1) + -2 Reorder the terms: -12 + 2 + -6x = 8(2x + -1) + -2 Combine like terms: -12 + 2 = -10 -10 + -6x = 8(2x + -1) + -2 Reorder the terms: -10 + -6x = 8(-1 + 2x) + -2 -10 + -6x = (-1 * 8 + 2x * 8) + -2 -10 + -6x = (-8 + 16x) + -2 Reorder the terms: -10 + -6x = -8 + -2 + 16x Combine like terms: -8 + -2 = -10 -10 + -6x = -10 + 16x Add '10' to each side of the equation. -10 + 10 + -6x = -10 + 10 + 16x Combine like terms: -10 + 10 = 0 0 + -6x = -10 + 10 + 16x -6x = -10 + 10 + 16x Combine like terms: -10 + 10 = 0 -6x = 0 + 16x -6x = 16x Solving -6x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -6x + -16x = 16x + -16x Combine like terms: -6x + -16x = -22x -22x = 16x + -16x Combine like terms: 16x + -16x = 0 -22x = 0 Divide each side by '-22'. x = 0 Simplifying x = 0
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